5x-3[4x-3]=2[4-5x]+10

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Solution for 5x-3[4x-3]=2[4-5x]+10 equation:


Simplifying
5x + -3[4x + -3] = 2[4 + -5x] + 10

Reorder the terms:
5x + -3[-3 + 4x] = 2[4 + -5x] + 10
5x + [-3 * -3 + 4x * -3] = 2[4 + -5x] + 10
5x + [9 + -12x] = 2[4 + -5x] + 10

Reorder the terms:
9 + 5x + -12x = 2[4 + -5x] + 10

Combine like terms: 5x + -12x = -7x
9 + -7x = 2[4 + -5x] + 10
9 + -7x = [4 * 2 + -5x * 2] + 10
9 + -7x = [8 + -10x] + 10

Reorder the terms:
9 + -7x = 8 + 10 + -10x

Combine like terms: 8 + 10 = 18
9 + -7x = 18 + -10x

Solving
9 + -7x = 18 + -10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10x' to each side of the equation.
9 + -7x + 10x = 18 + -10x + 10x

Combine like terms: -7x + 10x = 3x
9 + 3x = 18 + -10x + 10x

Combine like terms: -10x + 10x = 0
9 + 3x = 18 + 0
9 + 3x = 18

Add '-9' to each side of the equation.
9 + -9 + 3x = 18 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = 18 + -9
3x = 18 + -9

Combine like terms: 18 + -9 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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